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Climate graphs

A climate graph averages thirty years of weather month by month; its range, mean and rainfall pattern name a climate, and Fahrenheit is 1.8 times Celsius plus 32.

Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.

1. What you will learn

By the end of this lesson you will be able to read a climate graph, find its range and mean, convert to Fahrenheit, and name the climate it shows.

2. What you already have

You met biomes and climates in Grade 5, and you can read line graphs and bar graphs. A climate graph combines both to show a place's typical year, and this lesson reads the numbers a geographer takes from it.

3. Words for this lesson

TermWhat it means
ClimateThe average weather of a place over a long period, usually thirty years.
WeatherThe state of the air at one time and place.
Climate graphA graph of a place's monthly mean temperature as a line and precipitation as bars.
Annual rangeThe warmest month's mean temperature minus the coldest month's.
Mean annual temperatureThe average of the twelve monthly means.
ContinentalityThe larger temperature range of places far from the sea.

4. A place's typical year

A climate graph shows the average of about thirty years of weather, month by month.

  1. The line gives each month's mean temperature; the bars give each month's mean precipitation.
  2. The annual range is the warmest month's mean minus the coldest month's.
  3. The mean annual temperature is the sum of the twelve means divided by twelve.
  4. The total precipitation is the sum of the twelve bars.
  5. Range, mean and the timing of rain together name the climate.

Converting to Fahrenheit for American readers uses $F = 1.8C + 32$.

Another way: picture

Picture thirty calendars stacked on top of each other, one for each year, and averaging every January together, every February together, and so on. The climate graph is that averaged calendar: not any real year, but the year you would expect.

Another way: steps

  1. Read the coldest and warmest months from the line.
  2. Subtract for the range, minding the signs.
  3. Average the twelve months for the mean.
  4. Add the bars for the total precipitation.
  5. Match the pattern to a climate type.

5. Convert a temperature after a change

A change in temperature is not the final temperature. If a station starts at 4 degrees Celsius and warms by c degrees, its final reading is 4+c Celsius. Convert the whole reading: F=1.8(4+c)+32=1.8c+39.2. At zero change it remains 39.2 Fahrenheit; each extra Celsius degree adds 1.8 Fahrenheit degrees. The 32-degree offset converts temperature scales, so do not add it when converting a temperature difference alone.

6. Seasonal comparisons need matching records

Two places can receive the same annual rainfall but have different water stresses. In an invented comparison, Lowland receives most rain in its cool season while Plateau receives it during its warm growing season. Equal annual sums do not establish equal soil moisture because evaporative demand and the timing of plant growth differ. Inspect monthly pairs of precipitation and temperature before drawing an ecological conclusion.

Land-cover records add a second limit. A satellite map of one valley in one year and a climate average for a large region over thirty years have different extents and periods. Their association can generate a hypothesis, but it cannot establish that climate caused a recent clearing. Compare cover maps using the same classification and season, look for land-use records, and ask how representative the station is of elevation and exposure across the mapped area. Unknown years or changed map classes should lower confidence rather than being silently combined.

7. Reading a climate graph

The monthly mean temperature in degrees Celsius for an invented city in the American Midwest, January to December, joined by a line. It is coldest in January at minus 4 degrees, rises through spring to a peak of 25 degrees in July, and falls back to minus 1 in December, a range of 29 degrees. The dashed line marks freezing, 0 degrees; the months below it are January, February and December.
The monthly mean temperature in degrees Celsius for an invented city in the American Midwest, January to December, joined by a line. It is coldest in January at minus 4 degrees, rises through spring to a peak of 25 degrees in July, and falls back to minus 1 in December, a range of 29 degrees. The dashed line marks freezing, 0 degrees; the months below it are January, February and December.

This invented Midwestern city is coldest in January at $-4$ °C and warmest in July at $25$ °C, a range of $29$ degrees. Three months average below freezing: January, February and December. Its large range marks a continental climate, far from the moderating sea.

8. Climates by pattern

Different climates leave different fingerprints on a climate graph.

ClimateTemperaturePrecipitationAmerican example
tropical rainforesthot all year, tiny rangeheavy every monthnone on the mainland
hot deserthot, large daily rangevery littlePhoenix, Arizona
continentalcold winters, warm summersmostly summerMinneapolis, Minnesota
Mediterraneanmild winters, warm summerswinter onlyLos Angeles, California
humid subtropicalhot summers, mild wintersall yearAtlanta, Georgia

9. Why ranges differ

Water warms and cools far more slowly than land. So places beside the sea have mild winters and cool summers, a small range, while places deep inside a continent have cold winters and hot summers, a large range. This is continentality.

San Francisco's monthly means vary by only a few degrees through the year; Fargo, North Dakota, far inland, swings by dozens of degrees between January and July.

10. Why latitude matters

Near the equator the sun is high all year, so temperatures barely change with the seasons. Farther toward the poles, the sun is high in summer and low in winter, and days are long in summer and short in winter, so the range grows.

That is why Miami's range is small and Anchorage's large, even though both are near the sea.

11. Subtracting below zero

When the coldest month is below freezing, subtracting it adds its size. A July of $25$ and a January of $-4$ give $25 - (-4) = 29$, not $21$.

A number line helps: from $-4$ up to $0$ is four degrees, and from $0$ up to $25$ is twenty-five more, twenty-nine in all.

12. Celsius and Fahrenheit

Scientists and most of the world use Celsius; American weather reports use Fahrenheit. To convert a temperature, multiply by $1.8$ and add $32$: $25$ °C is $1.8 \times 25 + 32 = 77$ °F.

A range is a difference, so it converts without the $32$: a $29$-degree Celsius range is $1.8 \times 29$, about $52$ degrees Fahrenheit.

13. The mean annual temperature

Adding the twelve monthly means and dividing by twelve gives the mean annual temperature. But the mean alone can mislead: a desert city and a coastal city can have the same mean and very different years.

Geographers always report the mean with the range, and the total precipitation with when it falls.

14. Where the numbers come from

The National Oceanic and Atmospheric Administration, NOAA, publishes climate normals for thousands of American weather stations: thirty-year averages of temperature and precipitation for every month. The current normals average the years 1991 to 2020.

Every ten years the normals are updated. Across much of the country the newest normals are warmer than the old ones, one of the clearest signs of a changing climate.

15. The method, step by step, and how to check it

  1. Coldest and warmest: read the lowest and highest points of the line.
  2. Range: warmest minus coldest, minding signs.
  3. Mean: the twelve means added and divided by twelve.
  4. Precipitation: the twelve bars added, and when the most falls.
  5. Climate: match range, mean and rain timing to a type.

Checking an answer. The range is never negative, and it is always at least as large as the warmest month when the coldest is below zero.

16. Why each step is allowed

Subtracting the coldest from the warmest is allowed because the range measures the distance between them on the temperature scale. Averaging monthly means is allowed because each month counts once, giving a fair yearly mean, though months differ slightly in length.

Converting with $1.8$ and $32$ is allowed because the two scales are linked by a straight line: freezing at $0$ and $32$, boiling at $100$ and $212$.

17. Climate and daily life

A climate graph predicts how people live. A large range means heating in winter and cooling in summer. The months below freezing mean snow tires, frozen pipes and a short growing season. The rainfall pattern decides whether farmers need irrigation.

Builders use climate normals to size heating and air-conditioning systems, and farmers use them to choose crops and planting dates.

18. Common slips

The most common slip is dropping the sign of a below-freezing month, giving too small a range. Another is reading a climate graph as one year's weather.

A third is adding $32$ when converting a range, which is a difference, not a temperature. A fourth is judging a climate by its mean alone.

19. In the world: Fargo and San Francisco

Fargo, North Dakota, and San Francisco, California, lie at roughly similar latitudes in the northern half of the country, yet their climates could hardly be more different. Fargo's January mean is below 10 °F, and its July mean is near 70 °F: a range of more than sixty degrees Fahrenheit. San Francisco's monthly means stay within about ten or fifteen degrees of each other all year.

The difference is the sea. San Francisco sits beside the Pacific Ocean, whose cool, slowly changing water keeps winters mild and summers cool; the city's famous summer fog comes from that cold water. Fargo lies in the middle of the continent, where the land heats quickly in summer and loses heat quickly in winter.

The two climate graphs show continentality at a glance: a flat line by the sea, a deep curve inland. They also explain the cities' daily lives, from Fargo's engine block heaters to San Francisco's rarely used air conditioners.

20. In the world: NOAA's climate normals

Every ten years, NOAA's National Centers for Environmental Information publishes new climate normals: thirty-year averages of monthly temperature and precipitation for thousands of weather stations across the United States. The latest normals cover 1991 to 2020.

Farmers use them to choose planting dates, engineers to design storm drains and heating systems, and power companies to plan for summer demand. A climate graph for any American town can be drawn from them in minutes.

Comparing one set of normals with the last shows how climate is changing. The 1991 to 2020 normals were warmer than the 1981 to 2010 normals across most of the country, especially in the South and West, and wetter in much of the East. The graphs a geographer draws today are already slightly different from those drawn a decade ago.

21. A climate graph is not one year's weather

It is easy to read a climate graph as a record of one year, but it averages about thirty years; any single year may be warmer, colder, wetter or drier. It is also easy to read the range carelessly when winter falls below zero, subtracting the size of the number and losing its sign.

Treat the graph as the expected year, and when the coldest month is below zero, remember that subtracting a negative number adds its size: $25 - (-4)$ is $29$.

22. A range below zero

  1. January's mean is $-10$ °C and July's is $20$ °C. Write the range.

    $20 - (-10)$

    Warmest minus coldest.

  2. Evaluate the expression.

    $30\ °\text{C}$

    Subtracting a negative adds.

  3. Check on a number line.

    $10 + 20 = 30$

    Ten up to zero, twenty more.

  4. Name the climate.

    $\text{continental}$

    A large range.

23. A mean annual temperature

  1. Twelve monthly means add up to $150$ °C. Divide by twelve.

    $\dfrac{150}{12} = 12.5\ °\text{C}$

    The mean.

  2. Convert it to Fahrenheit.

    $1.8 \times 12.5 + 32 = 54.5\ °\text{F}$

    Multiply, then add.

  3. Its range is $25$ °C. Convert the range.

    $1.8 \times 25 = 45\ °\text{F}$

    No 32 for a difference.

  4. Say why both numbers are needed.

    $\text{mean and range describe the year}$

    Together.

  5. Say what else a geographer adds.

    $\text{precipitation and its timing}$

    The bars.

24. Two cities compared

  1. A coastal city: January $10$ °C, July $17$ °C. Find its range.

    $17 - 10 = 7\ °\text{C}$

    Small.

  2. An inland city: January $-12$ °C, July $23$ °C. Find its range.

    $23 - (-12) = 35\ °\text{C}$

    Large.

  3. Find the difference in range.

    $35 - 7 = 28\ °\text{C}$

    Inland swings much more.

  4. Explain the difference.

    $\text{continentality}$

    The sea moderates the coast.

  5. Convert the inland range to Fahrenheit.

    $1.8 \times 35 = 63\ °\text{F}$

    A difference, no 32.

  6. Say which city needs more heating.

    $\text{the inland city}$

    Its winter is far colder.

25. Your turn: a city's January mean is $-15$ °C and its July mean is $15$ °C. What is its range?

  1. Write the range.

    $15 - (-15)$

    Warmest minus coldest.

  2. Evaluate the expression.

    $30\ °\text{C}$

    Subtracting a negative adds.

  3. Your turn: work this step out. Its working is at the end of the packet.

    Name the climate.

26. Guided practice

A place's coldest month has a mean temperature of $2$ °C and its warmest month a mean of $22$ °C. What is its annual temperature range?

27. Guided practice

Complete the worked solution: a city's January mean is $-4$ °C and its July mean $25$ °C. Find its annual range, and July's mean in degrees Fahrenheit for an American weather report.

  1. Find the range.

    $\text{July} - \text{January} =$ r

    Degrees Celsius.

  2. Convert July to Fahrenheit.

    $1.8 \times \text{July} + 32 =$ f

    Degrees Fahrenheit.

  3. Say why ranges differ between places.

    $\text{distance from the sea}$

    Water warms and cools slowly.

  4. Say what a range in Fahrenheit would be.

    $1.8 \times \text{the Celsius range}$

    No 32, since it is a difference.

28. Guided practice

Match each climate graph's pattern to the climate it shows.

tropical rainforesthot desertcontinentalMediterranean
about 27 °C every month, more than 150 mm of rain every month
hot summers, mild winters, less than 20 mm of rain in most months
January below −10 °C, July above 20 °C, rain mainly in summer
mild rainy winters, warm summers with almost no rain

29. Practice

A climate graph's temperature line for a Midwestern city reads $-4$ °C in January, $-2$ in February, $4$ in March, rising to $25$ in July, and falling to $-1$ in December; every month from March to November is above freezing. Fill in the coldest month's mean, the warmest month's mean, the range, and the number of months below freezing.

value
coldest month's mean (°C)
warmest month's mean (°C)
annual range (°C)
months below freezing

30. Practice

A station starts at $4$ °C and then warms by $c$ Celsius degrees. Use the conversion $F=1.8C+32$ to write its final Fahrenheit temperature as a function of the change $c$.

Answer:

31. Practice

A climate graph's twelve monthly mean temperatures add up to $96$ °C. What is the mean annual temperature?

Answer: °C

32. Somewhere new

Suppose a city in coastal California has a January mean of $50$ °F and a July mean of $62$ °F. What is its annual temperature range, in degrees Fahrenheit?

Answer: °F

33. Somewhere new

Two fictional basins each average 600 millimeters of rain annually. A receives most in cool months; B in warm months. A one-year land-cover map of 3 square kilometers in A shows less forest than an older regional map made with different classes. Which conclusion is defensible?

34. Lesson test

Lesson test: one question per skill, one attempt each, no hints. Your answers are checked when you submit.

35. Test question

A station starts at $4$ °C and then warms by $c$ Celsius degrees. Use the conversion $F=1.8C+32$ to write its final Fahrenheit temperature as a function of the change $c$.

Answer:

36. What you can do now

You can read a climate graph. Explain why a coastal city has a smaller temperature range than an inland one.

Working for the steps left to you

25. Your turn: a city's January mean is $-15$ °C and its July mean is $15$ °C. What is its range?, step 3

$\text{continental}$

A large range.